if it is giving memory related errors, then you should try to isolate that problem before trying to do an install or go any farther.

Boot the LiveCD, and select troubleshooting. It should have an option to run memtest. Let memtest run for awhile and check all of the memory.

If you are getting memory errors, There are several things that can cause it.

1: The memory is loose in the slots. (You can try removing and reseating the memory modules)
2: The laptop is overheating. (You can try cleaning the dust out of it and see if that helps)
3: The memory is actually bad. (replacement of the memory is the only option in this case)

There can be other causes as well, but these are the most common ones.

But again, there really isn't much you can do until you get the memory errors corrected. Anything you install may be corrupted, so will really just be a waste of time.